903072 has 48 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 287232.

The previous prime is 903037. The next prime is 903073. The reversal of 903072 is 270309.

903072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (903073) by changing a digit.

903072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2⁹⁰³⁰⁷² is an apocalyptic number.

903072 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 903072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840).

903072 is an abundant number, since it is smaller than the sum of its proper divisors (1576608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

903072 is a wasteful number, since it uses less digits than its factorization.

903072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 903072 is about 950.3010049453. The cubic root of 903072 is about 96.6586649474.

It can be divided in two parts, 90307 and 2, that added together give a palindrome (90309).

The spelling of 903072 in words is "nine hundred three thousand, seventy-two".